I. Slegers

collaborators

4 papers

math.DG2021

Exponential convergence rate of the harmonic heat flow

Ivo Slegers

We consider the harmonic heat flow for maps from a compact Riemannian manifold into a Riemannian manifold that is complete and of non-positive curvature. We prove that if the harmo…

math.DG2021

The energy spectrum of metrics on surfaces

Ivo Slegers

Let $(N, ρ)$ be a Riemannian manifold, $S$ a surface of genus at least two and let $f : S \to N$ be a continuous map. We consider the energy spectrum of $(N, ρ)$ (and $f$ ) which…

math.DG2020

Strict plurisubharmonicity of the energy on Teichmüller space associated to Hitchin representations

Ivo Slegers

Let $Σ$ be a closed surface of genus least two and $ρ : π_{1} (Σ) \to G$ a Hitchin representation into $G = PSL (n, R)$ , $PSp (2 n, R)$ , $\text{PSO}(n,n+1…

math.DG2020

Equivariant harmonic maps depend real analytically on the representation

Ivo Slegers

We prove that when assuming suitable non-degeneracy conditions equivariant harmonic maps into symmetric spaces of non-compact type depend in a real analytic fashion on the represen…